Question 20
A person leaves from his office on his motorcycle to watch a movie. He rides 50 km towards east, turns right and rides for another 24 km. Finally, he turns towards the west and rides 43 km further and reaches the movie hall. What is the minimum distance between the movie hall and his office?
Solution
The person starts from his office and rides 50 km east, then turned right and ride south for 24 km, finally he turned left and travelled west for 43 km.
Thus, shortest distance between his office and movie hall
= $$\sqrt{(24)^2+(50-43)^2}$$
= $$\sqrt{576+49}$$
= $$\sqrt{625}=25$$ km
=> Ans - (C)
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